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Simplifying 6x + -8 + -2x + 5 = 8 + -1x + 7 + 3x Reorder the terms: -8 + 5 + 6x + -2x = 8 + -1x + 7 + 3x Combine like terms: -8 + 5 = -3 -3 + 6x + -2x = 8 + -1x + 7 + 3x Combine like terms: 6x + -2x = 4x -3 + 4x = 8 + -1x + 7 + 3x Reorder the terms: -3 + 4x = 8 + 7 + -1x + 3x Combine like terms: 8 + 7 = 15 -3 + 4x = 15 + -1x + 3x Combine like terms: -1x + 3x = 2x -3 + 4x = 15 + 2x Solving -3 + 4x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 4x + -2x = 15 + 2x + -2x Combine like terms: 4x + -2x = 2x -3 + 2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 2x = 15 + 0 -3 + 2x = 15 Add '3' to each side of the equation. -3 + 3 + 2x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 15 + 3 2x = 15 + 3 Combine like terms: 15 + 3 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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